We notice that in both equations, there is a #5x#. This suggests using elimination to solve the equations.
Since the equations have the same term with one of the variables (#5x#), we can subtract the two equations to eliminate #x# and leave one equation to solve for #y#. Subtracting the first equation from the second and solving gives us:
#2y - (-6y) = 19 - 9#
#8y = 10#
#y = 5/4#
Now, we can simply substitute the value of #y# into any of the 2 equations to solve for #x#. Substituting into the second equation and solving, we get:
#5x + 2(5/4) = 19#
#5x + 5/2 = 19#
#5x = 33/2#
#x = 33/10#
So, the answer to the equations is #x = 3 3/10# and #y = 1 1/4#.